id:A113137 - OEIS Search Results

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The rational numbers can be ordered by height and then by magnitude (see A002246, A097080); sequence gives denominators.

+0
3

1, 1, 1, 1, 2, 2, 1, 1, 2, 3, 3, 3, 3, 2, 1, 1, 3, 4, 4, 4, 4, 3, 1, 1, 2, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 4, 3, 2, 1, 1, 5, 6, 6, 6, 6, 5, 1, 1, 2, 3, 4, 5, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 5, 4, 3, 2, 1, 1, 3, 5, 7, 8, 8, 8, 8, 8, 8, 8, 8, 7, 5, 3, 1, 1, 2, 4, 5, 7, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9 (list; graph; listen)

	OFFSET	`1,5`
	REFERENCES	`M. N. Huxley, Area, Lattice Points and Exponential Sums, Oxford, 1996; p. 7.`
	EXAMPLE	`The rationals with this ordering, with those of height k in row k (there are 4*A000010(k) rationals of height k, for k>1):` `-1 0 1` `-2 -1/2 1/2 2` `-3 -3/2 -2/3 -1/3 1/3 2/3 3/2 3` `-4 -4/3 -3/4 -1/4 1/4 3/4 4/3 4` `...`
	CROSSREFS	`Cf. A113136, A002246, A097080.` `Sequence in context: A004739 A156282 A120423 this_sequence A075402 A088855 A034851` `Adjacent sequences: A113134 A113135 A113136 this_sequence A113138 A113139 A113140`
	KEYWORD	`nonn,easy,tabf`
	AUTHOR	`N. J. A. Sloane (njas(AT)research.att.com), Nov 02 2008`
	EXTENSIONS	`More terms from John W. Layman (layman(AT)math.vt.edu), Nov 06 2008`

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.

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